I'm trying to get GMLive to compile in GMS1x and I'm not sure if I should remove or include the functions that are after each "if(variable_global_exists)" statement. Also,other obsolete functions like variable_global_get() and variable_global_set() appear frequently.

As per doc, you'll need a recent version of GMS1 - variable_global_* functions have been recently reintroduced; variable_instance_* functions didn't previously exist (GM8 had variable_local_* functions, which were similar but not the same) and were introduced in the same update.