Are the following sentences correct?

1. I had a good experience.
2. I had a great experience.
3. I had an important experience.
4. I had a new experience.

They’re all grammatically correct Ricki.  You will have to be the judge as to whether they are factually correct.

Douglang is correct. Depends entirely on the experience—except for the Jimi Hendrix Experience, which was a band.

Which begs the inevitable question, posed by their signature album.

Precisely. Are you The Jimi Hendrix Experience?

As we say in these regions, “Protocol Haram” - I cannot say.

I understand there is a harem protocol, but I am not experienced in these matters. All of my wives/cousins have equal status.

Mine don’t, they are ranked by whiter shades of pale.

And in 1967, Procol Harum opened for Jimi Hendrix, clearly a good experience.

Fantastic.  Your turn, Ricki.