Pre Islamic Months:-        

5: 2        O ye who believe! violate not the sanctity of the Symbols of Allah nor of the Sacred Month nor of the animals brought for sacrifice nor the garlands that mark out such animals nor the people resorting to the Sacred House seeking of the bounty and good pleasure of their Lord. But when ye are clear of the Sacred Precincts and of pilgrim garb ye may hunt and let not the hatred of some people in (once) shutting you out of the Sacred Mosque lead you to transgression (and hostility on your part).  Help ye one another in righteousness and piety but help ye not one another in sin and rancor: fear Allah: for Allah is strict in punishment.

       # 686        Cf. ii. 158, where Safa and Marwa are called "Symbols (sha'a'ir) of Allah". Here the Symbols are everything connected with the Pilgrimage, viz., (1) the places (like Safii and Marwa, or the Ka'ba or 'Arafat, etc.); (2) the rites and ceremonies prescribed; (3) prohibitions (such as that of hunting, etc.); (4) the times and seasons prescribed. There is spiritual and moral dimension in all these. See notes on ii. 158, ii. 194-200. 687        The month of pilgrimage, or else, collectively, the four sacred months (ix. 36), viz., Rajab (7th). Zul-qa'dah (11th), Zul-hijjah (12th, the month of Pilgrimage), and Muharram (the first of the year). In all these months War was prohibited. Excepting Rajab the other three months are consecutive. 688

       The immunity from attack or interference extended to the animals brought as offerings for sacrifice and the garlands or fillets or distinguishing marks which gave them immunity. They were treated as sacred symbols. And of course every protection or immunity was enjoyed by the Pilgrims. 689        This is the state opposite to that described in n. 684, i.e., when ye have left the Sacred Precincts, and have doffed the special pilgrim garb, showing your return to ordinary life#

       *** Although the above verse is 'Islamic', it none the less describes the conditions, rules and prohibitions that pertained during the pagan period which Muhammad conveniently and shamelessly subsumed and wrapped up in the mantle of 'Islam' ***

Sahih Al-Bukhari HadithHadith 2.635        Narrated byIbn Abbas
The people (of the pre-Islamic period) used to think that to perform 'Umra during the months of Hajj was one of the major sins on earth. And also used to consider the month of Safar as a forbidden (i.e. sacred) month and they used to say, "When the wounds of the camel's back heal up (after they return from Hajj) and the signs of those wounds vanish and the month of Safar passes away then (at that time) 'Umra is permissible for the one who wishes to perform it." In the morning of the 4th of Dhul-Hijja, the Prophet and his companions reached Mecca, assuming Ihram for Hajj and he ordered his companions to make their intentions of the Ihram for 'Umra only (instead of Hajj) so they considered his order as something great and were puzzled, and said, "O Allah's Apostle! What kind (of finishing) of Ihram is allowed?" The Prophet replied, "Finish the Ihram completely like a non-Muhrim (you are allowed everything)."

Fiqh-us-Sunnah  Fiqh 5.121b   Umrah Before and During the Months of Hajj
A person may perform 'Umrah during the months of Hajj, without performing Hajj. 'Umar performed 'Umrah during the month of Shawwal and returned to Madinah without performing Hajj. One may, like 'Umar, perform 'Umrah even before Hajj.
Taw'us said, "In the Days of Ignorance the Arabs considered performing an 'Umrah during the months of Hajj as one of the major sins. And they used to say, "When (the month of) Safar ends, and the camels are back, and wounds in their legs are healed, and when traces of footprints (of pilgrims) are effaced, then one wishing to perform 'Umrah may do so."
After the advent of Islam, the people were commanded to perform 'Umrah even during the months of Hajj. Thus, the 'Umrah was permitted during the months of Hajj till the Day of Judgement.

Sahih Al-Bukhari HadithHadith 5.661        Narrated byAbu Raja Al Utaridi
We used to worship stones, and when we found a better stone than the first one, we would throw the first one and take the latter, but if we could not get a stone then we would collect some earth (i.e. soil) and then bring a sheep and milk that sheep over it, and perform the Tawaf around it. When the month of Rajab came, we used (to stop the military actions), calling this month the iron remover, for we used to remove and throw away the iron parts of every spear and arrow in the month of Rajab. Abu Raja' added: When the Prophet sent with (Allah's) Message, I was a boy working as a shepherd of my family camels. When we heard the news about the appearance of the Prophet, we ran to the fire, i.e. to Musailima al-Kadhdhab.

       *** The reader should be aware that almost every single tradition and fetish that the pagan Arabs practiced, were plagiarized, plundered, pirated and or perverted by Muhammad and wrapped by the false mantle of 'Islam'.

       Actually, the only item that made the pagan Arabs different from their brother and sister 'Muslims' was the loss of the other 360 gods and godesses that were associated with Allah ***