Hi, My name is Mandy. Thank you for using Just Answer. I am another expert with some additional information.
Have you tried a brace on your hand while you are working? If not, this could be another option for you. You can buy one for under $20.00 at most drug stores and super centers. It should only be worn when working, not all the time as it can actually weaken the muscles if worn all the time. If you do decide on the splint, take it off every couple of hours and stretch your hand out, move your wrist and fingers and then put it back on.
As far as your back, strengthening the core muscles which include your abdominals and back muscles is key to helping with back pain and preventing injury. You can join a gym and work with a trainer to strengthen your muscles. If that is not something you are interested in, there is a book called Core Performance that is available at most big chain book stores or it is available on Amazon.com.
As far as the OTC anti-inflammatories, these need to be taken on a regular basis for at least 2 weeks. Just taking them here and there will not give you the needed benefit. I suggest Ibuprofen 400mg three times a day with food (watch for stomach upset).
I hope this additional information has been helpful. If you have any further questions please let me know. Have a good day and Happy New Year.