Jamaat Salaah and Imaamat

Joining a second jamaat of musaafirs for Asr Salaah

Q: I went to a musjid late, when asr namaaz was over. However, I noticed a second jamaat taking place in the sehen,so I joined it. I got the last rakaat. So after salaam I completed my 3 rakaats. Now, after a few days, I discovered that the jamaat namaaz which took place was by musaafirs, so they read 2 rakaats, and I completed 3 rakaats, what is the condition of my namaaz? 

Reaching into sajdah before the Imaam

Q: It takes our imam a bit long to go into sajdah, standing up from sajdah, etc. So what happens, for example, is that after qaumah, as the Imam goes down into sajdah, he says Allahu Akbar, and we also go into sajdah, but some of us reach sajdah before him. Is his and our salaah valid? Should we request him to rather try and do his postures slightly faster? I think it is because of his weight problem.

Appointing a person who trims his beard less than a fist as Imaam

Q: If there is a resident Imaam of a Masjid, who adheres to the Sunnah outwardly and by Mazhab he is a Hanafi and another Imaam from outside who it seems as though trims his beard is a Shafi/Maaliki. The question is that can the Second Imaam who is not the resident Imaam be allowed to lead the Eid Salaah on the basis that the crowd that attends the Eid Gaah is generally Shafi/Maaliki? If not then will the sin of appointing him to lead the Eid Salaah be on the board members? As the resident Imaam had informed them that the sin will be on their shoulder and not his. Is this statement correct?