It looks like left hand. See here;
www.hhprop.com/how-boat-props-work.phpRotationThe Direction a prop rotates when viewed from the stern facing forward.
Right-hand propellers rotate clockwise to provide forward thrust.
Left-hand propellers rotate counter-clockwise to provide forward thrust.
Note: Left-Hand Propellers are primarily used on twin engine boats to cancel the steering torque that would be caused if both propellers spun in the same direction.
The photo resolution is not ideal but the blade's coatings don't look all that smooth and there are damage nicks in the leading edge. How old is the prop? It could well be the original hence 40+ years old with associated damage and coating roughness. Is the shafting aligned suitably hence avoiding excess stern tube and p bracket friction which will soak up a bit of torque - albeit the misalignment would have to be a fair bit to have this issue. Suggest your mechanic check the alignment when he is on board - if you can uncouple and turn the propshaft by hand this will indicate any problems associated with this. If the bearings are excessively worn allowing the prop and shaft to shake laterally this won't help - again it would have to be reasonably bad and would also show up in bad vibrations. Is the coupling ok?
Not possible to advise the diameter and pitch from the photo - as above these will be stamped on the prop hub somewhere.
Propspeed coating would give a smoother blade surface than what you have now but won't address the nicks and other accumulated damage.
If you are going for a new prop suggest look at 3 blade folding or feathering prop which will give better speed under sail also - see the Austral website. Maxprop do a 4 blade feathering but cost would be an issue. Kiwiprop could be cost effective. But I agree you need speed under power as the priority. Austral have a page on "specials" at reduced cost but no good buying something at reduced cost if it is not suitable.