Do mosques in Pakistan generally have a place for women to pray? If yes, is it availed by them?

Majority doesn't have separate facility for women. Although women are not required to pray in masjid but in this era there should be a separate facility in all masjids.

Take an example of a family going outside for any reason, so when a prayer time occurs, the women here have to just sit in the car while men go into the mosque to pray.

Saudi Arabia, famous for downgrading women everywhere in the world by making them wear the abaya and etc, their majority mosques have separate "equal" facilities for women. Thus every men and women won't miss any prayer.

The time has changed, and people go out and the geographically places are farther nowadays from home, so its not possible for women to come back home in every prayer time while the rest of the family is having fun at the park or at a shopping mall.

Our religious scholars and muftis don't actually think about all the other constraints in this era while saying women should not be allowed in the mosques.

And sorry, my answer might not make sense as its all scattered :P

Some very large masajid have separate annexe buildings for women. Others have designated halls or floors where women can offer salah and listen to the khutbah. I know that many masajid in Karachi provide such arrangements.

As for the smaller masajid, they do not have enough space to accommodate segregated congregations. But the organization (trust, jamia, etc.) that is responsible for the affairs of that masjid can make such an arrangement if a formal request is made.

Not all but yes a lot of them have a separate place for women to offer their prayers. Its more like, one in 10 mosques has this separate place. So the probability of finding a mosque near your place with separate space for women is very high.
But still this place is generally used only during Juma Prayer or Eid Prayers.

Permission to Visit the Mosque

It is well known that the foremost obligatory duty in Islam is to offer the prescribed prayers, as far as possible, in the mosque in congregation. But in this regard, the Commands for the males are different from those meant for the females. For the males the best prayer is that which is offered in the mosque in congregation, whereas for the females the best prayer is that which is offered inside the house in seclusion. Im5m Ahmad and Tabarani have reported the following Hadith from Umm Humaid Sa’idiyyah:
She said, “O Prophet of Allah, I desire to offer prayers under your leadership”. The Holy Prophet said, “I know that; but your offering the prayer in a corner is better than your offering it in your closet: and your offering the prayer in your closet is better than your offering it in the courtyard of your house; and your offering the prayer in the courtyard is better than your offering it in the neighbouring mosque; and your offering it in the neighbouring mosque is better than your offering it in the biggest mosque of the town”.59

Mosques, which are on Motor Way etc, do have separate area for women to pray. But other mosques, like the mosques in cities/villages do not have usually have separate area for women. But yeah, big mosques some times have.
And as Faiq pointed out, special arrangements are made for women for taraweeh prayers during Ramadan.

Yeah some of them have it... Women do pray there.

Nah, I haven't seen/heard any that has separate place for women, except for Faisal mosque and badshahi mosque.

Yes. Some Mosques hv separate place for women to pray there.one such mosque is near to my home but women go there only for jumma n eid prayers.
Masjid is good,but for women,her home is best place to pray,and a corner or room in home is the bestest place. So its better that women offer their prayers at home.

Yeah Sumi Alhamdulillah there are many Masajids here in Pakistan where they have seperate place for women...buh not all... especially arrangements are made in most of the masajids for jumma and for taraweeh during Ramazan...!!

I have not came across with such mosque ... There are different jamat khanas in whcih womens go for the prays ... i wont know much what they believe .. but in normal mosque they have have usually a portion for ladies in pakistan ...!