No. He starts with those two when he takes the invocation at Level 3. But he can copy other spells of the Ritual Casting type if he finds them.
On your Adventures, you can add other ritual Spells to your Book of Shadows. When you find such a spell, you can add it to the book if the spell’s level is equal to or less than half your Warlock level (rounded up) and if you can spare the time to transcribe the spell.
He needs only pay the gold and spend the time. Equal to or less than means spells of level 2 or 1 can be added.