What I'm hearing is a lot of breath in your voice. It sounds like your pushing more air as you try for the higher notes. It sounds shouty in places.

I can hear it in the lower register too. If your chest voice is too breathy and you continue to add more air as you go higher it will only make things worse.

You should definitely work on support. Using less breath. When you work on your voice you should notice as you do your exercises that as you go from low to high your cords will thin out when you do it right.. You should be able to feel this in your throat.

Maybe somebody else will have some ideas for you as well
Hope this helps

Nice voice buddy, just need some little tweaks. Mel is correct in pulling back a bit on the breath. Believe it or not, if you bear down more to tighten the stomach, it will actually help you to pull back the breath;) Keep singing!!! :)

Thank you Melanie and Jaime,
I will try to hold back on some the air and bear down on my voice to get a cleaner tone.

I guess what I was confused with is that I wanted it to sound freer rather than pinched and I reasoned that adding more breath would rid myself of the pinched/strained sound. I guess I was wrong.

So if my cords are better connected then I will have less strain?

The breathiness is not a bad thing if you want it for coloring, but overusing it, especially when going for the high notes, at least on your examples, sounds more like you're forcing a bit more air to sustain those high notes. It can still be breathy, but you must learn to finesse it;)More connected cords doesn't necessarily mean less strain, because can can also squeeze in the surrounding muscles and tighten too much. The bearing down is to help control air-flow release (breath control).