If the top of your RPM band is 6000 which I think it is on 4 strokers, you are getting about all you can get out of the engine. On turning to one side or the other, get behind the engine and look down at the lower section just above the prop.
I never saw a 4 stroke lower unit but I suppose what you want to remove and look beneath is the rectangular rubber (looking) plug on the top right of your last picture.
I see that at one time the engine had a "Whale's Tale" bolted to the lower unit. ......bolt holes in the Antiventilation plate.....horizontal plate in your last picture. With that said, your trim tab is probably missing and that is your problem. How about a picture from behind the engine looking straight at the rear of the prop taken about 3' from the rear of the engine. Post that and we will know for sure.
Remove it and peer down in the hole. If you had one, there is probably a Hex Socket screw in there. The screw is to secure the trim tab...just under the Anti-ventilation Plate). Functionally, you loosen the screw and turn the rear of the tab in the direction your boat wants to go. The more degrees off center you turn it the more effect it has on correcting the problem. If you go too far the wheel will star turning the other direction. Iboats, Ebay or your marine dealer should have one for sale.
Well I shopped iboats first and that was a joke!!!!!! So I went to ebay and here is something that should work:
Replaces: 31640T07, 31640T5, 316405, 12670. - Honda BF 75-90 (for Honda the bolt may not work properly, but thhe trim tab will). (4) Liquid like maintenance products. (3) Paint and chemicals. (1) Open software.
www.ebay.com
The device mounts up under the Antiventilation plate and sticks down.....there is a round detent in the plate to accept it. For right hand turning props (like yours), mine are set about 15 to 20 degrees with the tail to the Starboard side (right side) looking from the rear.
Hull type, loading, and hull condition play a big role in how a boat handles and performs. Your hull looks like it could use a Muratic Acid bath or a good scrubbing. When I used to go to the inlaws place on vacation, with the boat sitting in the water just a week, I could tell the difference in performance and it was a slick (surfaced) fiberglass runabout.