Yes! Completely the same at the moment
Kind of but I don't know how those mums do it as well as naps and weaning? And seeing family as well perhaps? And household stuff? Maybe ask if you can join them one day or if they would like to do something with you next week. Or just ask people if they want a coffee after playgroup (easier if its a morning playgroup and babies are calm or napping already) Definitely don't feel bad about it. Mat leave is not supposed to be about going out and it doesn't reflect badly on you at all!!! I think a lot of people also force themselves to go out because PPD can be harder to deal with if you stay at home so maybe things are not as rosy for them as it seems on Instagram.
I’ve found that its a very lonely time too but I’ve pushed myself harder to go to free groups and get involved, it’s helped some. Maybe try some groups for you and baby and make new friends. It’s not easy but you can always have new experiences xx