I think, intelligence is for magic attack and power is for physical.

Yes, you'll get choices about what items to use when you go searching.
As for stats, as far as I can gather power is physical attack damage, intelligence is magic attack damage, reflexes is dodge, toughness is ability to take less damage when hit, concentration is accuracy of attacks and health is, well health.

This is why  I think the only stat you can skimp on is intelligence or power if your using another attack type, though even then, you will need those stats for other types of competitions.

Btw, it seems that you do get upgrades to the farm and what monster species you can use which is cool.

I believe that  your stamina has something to do with toughness, reflexes and possibly health, but I'm not entirely sure, in general marathon is the competition I tend to do worst at since I never really get how staminer use applies to how fast or slowly your going and usually just am lazy and let the game run automatic races instead.

There are descriptions for the attacks, though they're a bit random, then first information about how quickly the attack launches vs its cool down time.

There are then stats for each attack all rated on the same e-s scale as the competitions and have ratings for damage, that is how much damage the attack does, hit, that is how likely the attack is to hit the opponent and E down that is whether the attack will reduce the opponent's energy increasing the time before they can launch more attacks.
Some attacks like intimidate and string shot also have a status effect, though the only one I've seen so far is to reduce your opponent's evasion though there are probably more.

The one stat I don't exactly understand is favourite degree, since lower numbers seem to belong to stronger attacks.

I'm also not sure what triggers your monsters learning more attacks, accept  they're always learned in battle, so it seems a good idea to battle a lot if you want to learn more.
Also, there are some status conditions which seem to be tied to the monster's personality, EG if your monster is inclined to rage, you'll occasionally get a damage boost when you get hit, whilst I think fighting spirit when it activates effects your evasion rate, though again I'm not %100 sure on this as yet.

And by the way, this game is just awesome, I can't say anything other about it. It is just cool.

Yes, it's portable. I've been running it portably on 2 computers within a Resilio Sync folder, so my game stays synchronised.
Anyway, every so often my game would say, it looks as though I recently love shadow, which is the nickname I chose for my elder goblin. I'm not sure what that means, does it mean that I'm taking good care of said goblin or does it have another meaning.
The english in this is rudimentary so I sometimes have to guess what he meant. In this I wonder if it wouldn't be better to use JGT, but not sure what google will make of that, because I once tried playing another game translated into Afrikaans which is my mother tongue, and google didn't do very well in doing that either. So since JGT uses google translate, I wonder if that english might be better or...is the current english better than that which JGT can offer from Japanese to English?

There's a line that says if you're tired of the monster you can let it rest or something like that, which is a grave mistake because it actually means if you're sick of raising that monster you can let it rest, lol. Sounds weird right?

To change the drive, delete the option file and restart the game. I use that method. Not sure if there's a way to change that in game or not. I added one of my favorite hausa songs to it and got a poodle worm lol. so cute.:) But I erased that save though. I just wonder if it'd give me the same result if I select the same file in different playthrough

also, to answer an earlier question, the game checks for an update when it is launched and will tell you if you aren't running the latest version.

Can they evolve?

how many moves can they learn? I think both of mine know 3 or 4.

The sound track use in the summer marathon is awsome.