Um, it could be just that you are much more intune with Lincoln's needs now - and maybe he's not so happy to be passed around as he is becoming more aware of his environment. Plus if he gets upset you are the one who has to soothe him and so on. You could be going mad (you are a mum after all!) but maybe not! Is Lincoln upset when he is picked up suddenly? or is it more about you?
Either way, you are his mum, and I always say Happy Mummy = Happy Baby so if you don't want people to pick him up just tell them to give him a moment other wise he gets upset. Alternatively you could just lie and tell them, he's just had a feed and might chuck all over them if they grab him!!
Kellxx - what sh* thing for you MIL to say - of course he's going to look at you! I'd say "oh he just prefers his mummy, don't you beautiful!!" heheh (I know - way too naughty!)