Latin Principal Parts

What are the first conjugation verbs in Latina

the first conjugation are generally those ends are .... amare, etc.

There are some potential problems here - not Latin, but English.

There is no "right" way to list the main rooms. The first three are generally the same - 1st singular indicative, infinitive, the first singular perfect. The difference comes in the fourth principle. Some schools teach that it is the neutral form of the singular - amatum; otheres say it is the masculine singular form - amatus.

So it's either: amatus amo, amare, Amavi, OR amatum amo, amare, Amavi.

As to the second main part, I only saw the infinitive and the first singular perfect verb in the third principal component.

first conjugation verbs are those that have infinitives ending are
The main parts of the first conjugation verbs go like this
amo, amare, Amavi, amatum

The second main part is usually the first person singular past tense of the verb.

of amare it would Amavi

examples of the first conjugation verbs:
amare to love
laborare work
laudare for rent
orare to pray

I love amo
love you heaps
amat he, she, she loves

amamus we love
Amati love
They love lover

The second main part of any Latin verb, unless the product is defective (incomplete) tense, present active infinitive is his. (For filing a verb, active forms look passive.) First conjugation verbs are those whose infinitive ends are.