Painless small blood blisters on the sides of tongue and white coating.......is this a liver problem?

Not likely. More likely to be a viral infection. However, if you are concerned about liver you might possibly be drinking too much...if so, try to get help for that BEFORE you develop a liver problem! Good luck.
No. you may be irritating your tongue with a sharp tooth or filling. In any case see your Oral Care Provider (Dentist) and stop worrying about liver issues (unless you have another reason for worry) Hope this is helpful Dr Z.