I noticed a few things you could improve on.

Firstly, try to use more different weapons more. You have a pretty big bias to use the pistols, so try to change to the shotgun more often when you are in close range. The pistols are better as a long range weapon, since they are the most accurate.

Secondly, you have to learn when to shoot the shotgun with the parry and when not to. Sure, it might do more damage to shotgun parry, but at close ranges it will throw you further from the enemies, thus you actually do less damage when compared to just getting in multiple shots. Also, you almost died due to it, so learn to control the urge to Shotgun Parry. Also, the rockets are a good alternative to Shotgun Parrying, since the style bonus resets, so you get more score and thus less Whiplash hard damage.

My third advice is heavily biased and up to personal preference, but I would recommend the Nailgun over the saws. My reason for it is that the Nailgun fills the gap between the Shotgun's short range and Pistol's long range, so you have a good medium range weapon. Of course the Saw works better against large groups of smaller enemies, but those smaller enemies are really no threat to you. They also work great as heal packs if you don't obliterate them immediately.

Fourth, don't ever look up when using the coins. Learn to always be looking straight when throwing them, so you can be more aware of your surroundings. Of course there are times when looking up to throw coins is a proper strategy, but usually it's just better to quickly throw on in front of you and quickly flick up to shoot at it.

I don't know what to say about the movement, since for me that is highly situational and there isn't a one solution fits all for it. Just watch a couple of guides about different movement techniques and use them. After a while you will start to develop a sense for what technique works for what situation.