I just had to change my 2011 macbook pro 13 inch battery as it was getting pitiful, if there is no way of easily changing the battery it will probably be the last macbook I buy
As stated the keyboard connector is a nightmare to get back in, how I finally did it is, I presented the cable to the socket and using a sticky label pressing down pulled the label towards the centre of the mainboard
The magsafe connector is not under the mainboard and it would be easy for apple to have designed it so that the socket was on the top not the underside of the mainboard