It all depends on your goals. Are you looking to do a bodybuilding program? Those exercises are all good but lack compound movements which should be the core of your program if you are able.
How much training have you done? Are you just starting out?
I want to do pull ups but I can't do them yet and my gym doesn't have assist machine.
So I think general fitness first and in 10 weeks I'd like to start doing pull ups with assisted bands instead of lat pull downs
If just general fitness is what you’re going for then a solid program like starting strength is great to build a base and then go on from there. This is a more advanced program that is focused more on muscle size and you need to have a good mind/body connection to get the most out of it. Building a base first would help a lot.
For pull ups, what I did to go from 0-1 was doing a lot of negatives. So I’d jump up to the top position and hold it and then I’d slowly let myself down as controlled as possible. That worked for me better than lat pull downs.
Personally, I think you’re making things too complicated at this point. If you are just starting out you don’t need to add periodization. That’s for when you are really pushing heavy weights or doing things you cannot recover from quickly.