Ouch...short text for questions, and long text for answers...
But they are basic questions for beginners when they begin to play French as White (myself, I play the Advance 3.e5 and no problem

just joking).
You must know the ideas and plans for White and Black in these lines.
With 6.Nxf6 or 6.Bd3 (without Bg5) it's the Rubinstein variation and with 6.Bg5 it's the Burn variation.
Top level players prefer the Rubinstein, because too much piece exchanges after Bg5 and they help Black (one idea)...but sometimes they cannot avoid it, when Black play Classical line with Nf6 and White chooses Bg5 (as in Alekhine/Chatard line ): 3.Nc3 Nf6 4.Bg5 dxe4 (instead of Be7).
One main dangerous plan for White is long castle when Black plays short castle...Psakhis explains it well in books...and many Bareev games as Black are very interesting to collect/study/analyse...maybe because Bareev, suffered terrible losses in the past.
Sometimes,White plays quiet positional plan, just avoiding the exchanges, when Black keeps positional disadvantage of bad bishop (light squares). Jussupov explained very well in one Europe Echecs, all detailed ideas in the line, mainly the c5 freeing move for Black.
If your want more information, choose precise line...as usual in chess...you will not find a killing line as White in first moves of opening.