Your bottom notes are absolutely fine. Rough doesn't equal bad!

At the top you're backing away from the notes. DON'T think of them as high notes that you have to strain upwards for, as that will just close your throat. See if you can find a way of 'thinking' the octave below and letting the upper octave sound instead. Look for songs where phrases with high notes are really comfortable and open, and use those phrases to practice your upper range.

Most important of all: transpose songs into the key that's right for you. (There may be two or three close keys that work for you at different times.) It's far better to sing with your own voice than to imitate.

Breaks aren't bad in themselves. We all have them, and it's a matter of learning to use the voice properly, NOT of trying to deny that there are differences between top and bottom. With the right technique, abrupt breaks can become into 'bridges', so you can mix-and-match your head and chest voices over a few notes, to smooth over the differences between registers.