Hello lovely. I was you! DD was born 6 weeks early and didn't smile till she was at least 12 weeks, and then not much until a few weeks later. She was a harder than average baby, lots of wind and a bit of reflux, she was quite grumpy and didn't sleep well after the first few weeks. I think this is pretty common for prem babies as their digestive systems aren't as mature so they are just a bit more prone to being uncomfortable
But at the time I just felt I was doing it all wrong and neither of us was enjoying any of it.
What I can tell you is you are not doing it wrong - there honestly is not a right and wrong - as long as you are giving him time and love that's all he needs at this point. (I had similar worries about "getting it right", due i think to the books I was reading. If you have Gina Ford or any similarly dictatorial books I strongly advise you bin them! trying to make my prem baby fit Gina routines nearly sent me mad).
I can also tell you it gets SO much better. For me about 6-10 weeks corrected (so 12-16 weeks actual) were the hardest. Lots of non prem babies are also very difficult at this time, it's a classic time for overtiredness and colic. 12 weeks (corrected) is often a turning point. 4 months corrected was another turning point for us, then 6 months, 10 months, 18 months, etc, each stage has been better. Right now those will feel like forever away but you will get there.
My advice would be - 1) try to get out and about as much as possible - even if only to the corner shop it will make you feel you've done something with the day - and the buggy walks will help make sure your DS is getting enough sleep. 2) Try not to worry too much about getting it right! Easier said than done I know but really most mothers are just making it up as they go along, anyone who says there is a single right way is just trying to sell a book lying. 3) don't worry about entertaining him, at this age they just like to look at the world and hear the sounds, nothing more is needed. 4) Look forward to when he is older and more interactive!
Yes motherhood is tough, and you've had a harder start than most with the stress of prematurity and the 7 extra weeks of newborn stage. You have my empathy and sympathy. The only silver lining is that once you get to the older baby/toddler stages they will seem a breeze by comparison...
sorry bit of an essay!