Firstly, given he's a rapist, but says he's changed, What's wrong with actually testing out whether he means it?
Secondly, a month will give you the time to step out the (approx 3 day) cycle you are in of him nagging you for sex, you giving in, then saying how much you love him because you're flooded with hormones, then the dust settles and over the next 2 days you realise again he's an abuser, and it then starts again. Break free of that cycle so you can see the wood from the trees again.
Thirdly, you're clearly not having sex because you're desperately craving it. You're giving in because you're craving things feeling 'normal' again, and because he makes life so difficult when you don't. As you said earlier today, you don't even know what it would be like to initiate sex as you don't have a change.
Most importantly, and it's tied to the first one. Knowing sex is off the table allows trust to slowly rebuild. For true intimacy to build - where a smile is a smile, and a hug is a hug, and you aren't afraid to ask for a cuddle.