Angela has already corrected the sentences. But I would like to add something.

Although the sentences except for a few mistakes are grammatically correct, they sound really strange. In today's colloquial German language is usually not a distinction between “Perfekt” and “Präteritum”. But the “Perfekt” is very common in the spoken language for the past. Conversely, the “Präteritum” is often used in newspaper reports, etc.

But there are a few exceptions. Especially with the modal verbs, with the verbs "sein" and "haben" and with some other verbs “Präteritum” is used in almost all situations.

Are these sentences correct?

Die Kinder wollten haben spielen wollen (The kids wanted to play) - This is better expressed in the simple past in German, as it happened and completed in the past.

Du hast nicht hier kommen dürfen Du darfst nicht hierher kommen. (You were not allowed to come here)

Ich hätte habe heute zu Hause bleiben sollen ( I should have stayed at home today)

Er mußte lernen hat lernen müssen (he must have studied) (better English would be: He had to study; my German translation reflects that)

Wir tranken gerne haben trinken mögen (we liked drinking) It would be grammatically correct to say "Wir mögen es, zu trinken" but nobody would say that. Better is to say "Wir tranken gerne".

Nice work!

Here are some resources on German Modal verbs - https://deutsch.lingolia.com/en/grammar/verbs/modal-verbs