1. There are a lot of spots where you are jumping left or right when you should be vertical jumping (barrel screens). Jumping left/right cuts down on your moving real estate...giving you less time to make decisions and jump consecutive barrel combinations.
2. Also barrels, you seem to always wait until you can steer a barrel out of the way before making the final climb up to the top...there are plenty of chances to just wait for a barrel to roll by, then run straight up. It's always close, but you always have time to run up without steering barrels. This is good to understand when you eventually run into panic situations where fireballs are chasing you up to the top...
3. 2-3, it's always recommended to get rid of the bottom right rivet if you can...before you climb up and try to remove the upper right top 2 rivets...and what happened to you is exactly why...you get trapped up there and almost die. Also, understanding the behaviors of the freezers would have provided an easier escape for you...even after getting semi-trapped up there. You may or may not know the freezer behaviors, if not, it's good to understand. There are posts/threads on CAGDC regarding freezers.
4. Your first death...caused by jumping left/right. If you work on jumping straight up more often...you will die less on barrel screens. You will eventually get the timing of the jumping down...and know when to jump so that you can land directly behind barrels as they roll under you. This is the optimal way of jumping barrels and having the best chance of surviving subsequent barrel jumps. (Reason being, and you may or may not know this...but Jumpman is delayed for a fraction of a second after each jump...like he is stuck to the ground for a short amount of time...and you can't jump again...so you always want to have lots of room in front of you...and always have time to immediately jump again).
5. Your second death, this is just unlucky...part of the game that we all hate...the wild barrel to the face. It's often unavoidable...but my only advice would be to try to never put yourself in a position where you are jumping to the left or right (or directly below) of Kong on L1-L4 barrel screens. Be patient and steer barrels away until you have a clear path to clumb up and move around without having to jump barrels right away (this is not always possible, obviously). If you DO have to make jumps like this around Kong...try and wait until his animation is in the "middle, just before releasing a barrel" phase. During this time, Kong has passed his point of being able to release a wild barrel, and will be releasing a normal rolling barrel...and won't be able to do any crazy stuff like drop a bomb, or wild barrel...until he goes back to the "reaching left for another barrel" animation...at which time you have to be ready for anything again.
6. 3rd death...this is where you have to know how to 'backjump' barrels...when you jump over the barrel, the same way the barrel is rolling. Practice backjumping over and over until you can do it as easy as regular jumps. It gets you out of trouble quite often (backjumping).
It's also sometimes possible to do what I described above...jump so that you land directly behind the barrel...so jump early...and almost land right on the barrel...but right behind it...this gives you more time to jump again before another barrel rolls into you.
K, I think i may have been critiquing the wrong game, as I just saw your last death and it was missing the long jump, so it wasn't your high score game...but that's where the link took me.
Nonetheless there's a few good tips to work on above.
Oh, and I like that you have the techno song from King of Kong on your playlist.
Good luck!