Hi Jirish,
I have the problem of not being able to say a word that I need....it is called word recall. I know what I want to say but I can't retrieve the word. I have found that if I can make a mental image of the word, that I can get that word faster......it works for nouns anyway. I also stutter if I am talking to fast. I don't slur but slurring is very common in MS as well. All the things you have described are definitely MS type symptoms.
Your leg problems seem to be related to MS as well. I have not had those particular symptoms. Falling is never good and can cause real problems!! You cannot keep falling. You need a mobility aid to protect you. Talk to your doctor as soon as possible. You need your cane or a walker or whatever!!! A broken bone is going to greatly complicate things!!