Greek or Romans ?
yes
No, the Greek gods and Roman gods are very similar, but they have different names and slightly different attributes. Many of the Roman gods were influenced by Greek mythology, with the Romans adopting and adapting the Greek gods to fit their own cultural beliefs.
Yes, there were literally hundreds of gods that the Romans had adopted into their culture from their conquests of other empires.
The Romans based their gods on the Greek gods and only changed the names.
Romans named their gods after their natures: Cupid (Desire) and so on and so forth, from what we understand, however there are gods and goddesses from Roman myth whose names are of uncertain origin.
Misconception here; the Romans did not adopt Greek gods and change their names. They already had their own gods and simply equated them to Greek gods later.
The Roman Empire came to include the whole Mediterranean area including Greece, and the Romans soon loved everything Greek, also their gods and the myths about them. The Romans just took the Greek Gods and the myths about them, Romanized their names and claimed them as their own.
The Greeks and the Romans. However, the Romans gave the gods new, Roman names. Zeus's Roman name was Jupiter.
the Romans had the same gods as the Greeks, just different names
Greek mythology came first. Then the Romans came. They admired the gods and goddesses of the Greeks and copied. The Roman gods and goddesses and more disciplined and war-like. Because Greek and Roman mythology things can't have the same name, Romans changed the names.
The Romans took many properties of important Greek gods and gave them new names and slightly different jobs.