This (m)
acest
acesta
ăsta
This (f)
această
aceasta
asta
These (m pl)
acești
aceștia
ăștia
These (f/n pl)
aceste
acestea
astea
That (m)
acel
acela
ăla
That (f)
aceea
acea
aia
Those (f/n pl.)
acele
acelea
alea
Yes, you are absolutely correct, acest băiat/ băiatul acesta. You also can use “acesta” to (or aceasta, acestia, etc) alone, meaning “this one” (or these), but never use “acest” alone, as it is an adjective and must be followed by a noun.
Great job, keep it up!