Vampires cannot enter without being invited in. It doesn't matter how they are invited in. Can be an “Ok, come in”. Or “It is fine, you can come.” - both will be accepted as an invitation. What they cannot enter is another matter, entries is usually denoted by doors or gates. Thus a city gate will be enough to deter them, though most vampires will have little to no problem getting an invitation there. Houses are the same, but difficulty is higher.

Players bitten by vampires do not necessarily turn into Vampires. If the Vampire so chooses, it can turn a player. The process takes 7 sunsets, until finalized. During this time, if the Vampire is slain, the player becomes themselves again.

A religion check with a DC:15 + Level of Vampire is required for them to fear the deity of the player.

Nonsense, no vampires fear a good linguini with Garlic, or garlic bread. (But they do like the taste in the blood..)

Vampires take 20 acid damage if they end their turn in running water.

If a piercing weapon made of wood is driven into its while it is incapacitated in his coffin, It is paralyzed until the stake is removed.

While in sunlight, A vampire takes 20 radiant damage at the start of his turn, and it has disadvantage on attack rolls and ability checks.