Hi,
For each remote-peer (to provide VLL or VPLS) will PE 01 import all remote labels?
======Yes, the HUB router will import the all the remote peer labels to establish the P2MP network topology.
What commands can be used to check LIB and LFIB routes?
======As ster said, command "display mpls lsp" displays the LFIB information. Also, you can get more information using command "display mpls ldp lsp".
What is a safe/sugested number of labels in LIB/LFIB to keep the MPLS cloud stable?
======As far as I know, there is no such rule to meet your requirement, and in my opinion, I don't think that MPLS label value could inflence the network.
Do a LDP full mesh from all PE to all PE decrease performance in the MPLS cloud?
======Yes, the LDP session will require the device assigning physical performance to keep it alive, and absolutely, it will decrease router performance.