Restriction Endonucleases BamH1,NheI,XbaI,and EcoRI Make Sequence-Specific Cuts in DNA at the Following

Essay

Restriction endonucleases BamH1,NheI,XbaI,and EcoRI make sequence-specific cuts in DNA at the following sequences:
BamHI: $\quad$ 5'-GGATCC-3'
NheI: $\quad$ $\quad$ 5'-GCTAGC-3'
XbaI: $\quad$ $\quad$ 5'-TCTAGA-3'
EcoRI: $\quad$ $\quad$ 5'-GAATTC-3'
All these enzymes break a phosphodiester bond between the first and second nucleotide (counting from the 5' end),leaving a 5' P and a 3' OH.
Could ligase covalently join two ends produced by the following enzymes? If so,would ligation regenerate one of the above restriction sites?
(1)two BamH1 ends?
(2)two XbaI ends?
(3)a BamH1 and an EcoRI end?
(4)an XbaI and an NheI end?
(5)a BamH1 and an NheI end?