I have got vs I have

Hello! I'd just like to know, do they have the same meaning?

a. It's already 7am! I have really got to go to work now! ( I really have to go to work now!)

b. Has she only got an expensive car? I don't believe that she has only got that expensive car! ( Does she only have an expensive car?/She only has an expensive car.)

c. She has also got a white cat /She also has 5 pence (She has also got to do it/she also has to do it.)

d. She actually has a mobile phone/she actually has to swim (she has actually got a car/she has actually got to sign her contracts).

are the patterns correct ?

for "have got" : Subject+have got/has got+object / (for obligation) subject+have got+to+base verb. (It seems like present perfect form, right? Can I use "have got" in past tense /past form?)

if I have the random word, is it possible if I put it (random word) between "have" and "got" ex.

Subject+has/have+(random word)+got+subject / or subject+has/have+(random word)+got+to+base verb.

"Jane has (really/actually/only, etc.) got a mobile phone / Jane has (really/actually/only, etc.) got to sign her contracts"., in interrogative form ex. Has she (only/really/actually) got a lot of books.

for "have" : Subject+has/have+object (or) subject has/have+to+base verb

ex. I have a car / I have to go

"with the random word"

pattern : Subject+random word+have/has+object (or) Subject+random word+have/has+to+base verb.

ex. I (really/only/actually) have £5 (or) I (really/only/actually) have to learn more about your language

are those facts correct?.

Please feel free to check or correct my sentence.