How can I load my output data from output file 4.pair.p into a lammps.tjr file?

Please study the documentation of the dump command.

I have no idea what you mean. Maybe thermo 100 is the command you want to use?

The bottom line is that if you are not able to explain what you want to achieve, then it is likely that you are not understanding what you are doing. Also, please read the forum rules, as your posts are visually a mess and conceptually hard to decipher.