Muqtadi making salaam immediately after the imaam makes salaam

Q: Should a muqtadi make salaam after the Imaam has completed both sides salaam or should he make salaam afer the Imaam turns his head towards the right and then after the Imaam turns his head to left the we follow the Imaam, as we normally do?

Some people in Saudia told me that I should wait until the Imaam is done with salam on both sides then make salaam. Which method is correct?

Ownership of an item purchased for a child

Q: My mother bought a certain baby accessory for my baby sister. At the time of purchasing, she was not aware of the fatwa (of ownership) so she simply bought it without making any specific intention of who the owner is. In other words, she bought it with her own money for my baby sister (her youngest daughter) to use.

Its been 5 years and now I am married and have a child. Will it be permissable for my mother to give me possesion over that accessory so that I can use it for my baby?

Going to a gym

Q: I'm a male who recently joined a gym, but was ignorant to the fitnah prevalent. There are men who walk around completely naked in the change rooms and with shorts when working out (satr exposed), music blasting from speakers, and women walking around shamelessly. To avoid many of these vices there are some precautions I can take:

1. Avoid entering change rooms (however I can still see their satr outside the change rooms)

2. Use earphones to avoid the music (or at least blur it out)

3. Go at times when it is quiet (however I haven't been able to find a time where it is completely empty).

Although taking these precautions, I still feel in my heart that I am being disobedient to Allah Ta'ala and it would be better to cancel my membership.

N.B. I can take up running or jogging, but I do not have any proper equipment to tone my body (the equipment is expensive), and I have not come across any male only gyms in my locality.

1. 'The one who adds to the numbers of a people is counted as among them, and the one who is pleased with the wrong of a people will be regarded as a partner in their actions.' (Ithaaful Khiyaratil Maharah #3297) 
By going to the gym, will I be counted as among the disobedient?

2. Am I correct in saying the gym is a place of disobedience?

3. Should I cancel my membership and find other ways of doing exercise?

4. If I accidentally look or hear something impermissible, then would I be blameworthy for going to a place like this?

5. Does Mufti saheb have any advice or suggestions?