[Hampshire] Mac book repairer

My daughter Macbook seem to have given up the ghost, while we can it to boot to
the desktop 1 in 3 attempts, it is very slow. It is not helped by the fact that
the optical drive is also dead (died back end of November). Can anybody suggest
any thing to check (complete Mac newbie here) and does anybody know of any
repairer for Macs in Bournemouth, Southampton Portsmouth area.

Tim