CGT split married couple sole ownership

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Hello all, I would be grateful for your wisdom and thoughts on CGT. 

My OH and I want to (try and) buy a family home now we have a kid (we currently rent from a family member because when our kid arrived we decided a one bed in the city just didn’t cut it!

I own a flat in my sole name. My OH and I also have one together. 

My place may sell for 60k more than bought for

Our joint place may be 50k more.

I calculated the CGT on our joint place is likely below our annual allowance (we lived in it for a while). 

For my place in my sole name I am unclear on two key things:

1. As we are now married would the CGT liability be split between us, or does the fact that it is in my sole name mean the liability is solely with me?
2. CGT allowance being an annual thing, presumably it would be stupid for us to sell both in the same tax year - I feel like this is a really obvious point but looking for validation that - if we sell one place in this tax year, I/we must wait until the following tax year before we can use the allowance on the sale of the second...

Thanks very much in advance!