Try and keep your chin up. I get comments like that and much, much worse all the time. That's why it helps no end to come on here and talk to people who can understand the situation.
A resting tremor is something that occurs, in the case of my husband, when he isn't using that arm or he is relaxed. His arm will literally bounce up and down as though he is constantly tapping his hand on something. I try and discourage him from hiding his hand in his trouser pocket when this happens, not the most appropriate of looks! Instead I found him a stress ball which helps.
Have you noticed whether or not your husband still swings his arms when he walks? Only mine has lost the ability to move them and while I know this isn't the same for everyone it appears to happen quite often.
Do you both have the same Dr? We do and he will listen to my concerns, even though it will need a visit eventually.