“而且” and “并且” are conjunction words, both means “and/in addition”, they can be used alternatively when connecting two separated clauses. While in Chinese, they are different in some conditions.
When“而且” is used as a conjunction in a complex sentence, it is generally put in the first word in the second clause. And it shows the progressive relation as “further/more”, which is often used together with “不仅”, “不但”(not only).
When it comes to “并且” as a conjunction, there are two conditions. One condition is that “并且” is as the first word of the second clause in a complex sentence, and its meaning is the same with “而且”.
Another is that “并且” is used to connect two verbs or verbal phrases, it shows that these two actions happen at the same time or follow one another.