Out of curiosity of what happened to the old Palm brand, I dug through the 888 active TMs involving the word "palm" and found some that could pose major problems for you, each with a TM on "Palm".... most of them being the original brand's TM (or a resurrection of it??) it seems and still active..
Computer hardware and software systems for integrating and making accessible for machine learning and pattern recognition of electronic data...
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.229
Electronics, namely, mobile phones, cellular phones, feature phones, smart phones, PDAs, handheld computers, computers, tablets, tablet computers...
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.214
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.215
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.216
Education and entertainment services...
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.2.58
scientific, photographic, cinematographic, optical, electronic and teaching apparatus and instruments...
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.535
Scientific apparatus, scientific instruments, laboratory apparatus and electrical, electronic...
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.774
electronic calculators.
http://tess2.uspto.gov/bin/showfield?f=doc&state=4810:14e2ed.7.863
(not an exhaustive list btw, just the ones that caught my eye, I am not a TM lawyer and didn't spend too much time going through the list as it was long)
Honestly, if it were my domain, I would chat with a TM lawyer since the domain could have serious value without the TM issue, but it looks like this may actually null any value for you... Hard for me to see how your domain couldn't be argued to infringe on at least one of these TMs... As a software engineer and developer, I would personally stay away from such a domain in naming my company. That doesn't mean that everyone would avoid it, but I think it limits the demand on the domain and seriously lowers the price (Nobody wants to take the chance of having to pay legal fees just to find out they lose their name and need to rebrand). If there is a TM issue, you might still get some value from someone else willing to risk it on flippa or something.
Hope this helps and wish you the best!