1 pointJE is a jump equals operation. In other words, it'll only jump to a new address if a condition is met. By contrast, JMP has no comparison condition; it'll just jump. If you replace a JE instruction with a JMP instruction, it means whatever check the code was doing there will no longer run for that code path. It can be used for ignoring simple client checks without detouring the entire function.
1 pointEntry points in general are addresses where a program starts, or less conventionally where a function/subroutine starts in assembly. Hard to say what these ones do without knowing what program he's referencing.