If you are still visiting this forum waiting for answer...
The answer is: not.
If you use Pres.Perfect, the action may not have always occurred in the closest past. It can be also in the further past.
"Most" can mean basically 'right now', and 'just' in the Present Perfect: I have just got up. That means, in the near past. "[Éppen] most keltem fel." In this case, "MOST" is accented so the verb turned over (otherwise "felkeltem").
Write some phrases using Pres.Perf. if you want, and i'll tell how they are translated.
I don't know what You have learned about whether the word order is important, but I think it is crucial if you want to explain your thoughts rightly. Somewhere there's some freedom, somewhere not.
What have you already learned in Hungarian? What chapters are in your Hungarian book?(if you have any) I'm excited by books like that. I'm interested in teaching foreigners to our language. Everyone can ask me in the forum though I don't guarantee an expert's answer. I hope I'm also improving this way.
Tomi, native Hungarian