あがる => ...up (Upwards) N4
Direction
~むきがある(~向きがある)     => There is a tendency N1
ふしがある => Seem N2
Speculation
あがる => so... (Extreme level) N4
Extreme level
限りがある/ない => is limited, has boundary N2
Limit, limit
てくれてありがとう => Thank you for doing A N4
Honorifics
あがる => has finished doing something N4
Completed
~かいもなく/~がいもなく      => despite; even though ~. I tried hard / hard but unfortunately ~ N1
~きらいがある => bad habit; to have a tendency to ~ N1
Trend
ではあるが => Although it is N2
Evaluate
必要がある => Need/Need to N4
ことがある/こともある => there are times when N5