Looking for Logical Fallacies

The first fallacies I noticed was hasty generalization. The "expert" uses this when talking about illegal immigrants and says they all have disease's because a study has shown an increase of disease's we thought were gone.He is putting illegal immigrants in one group and making assumptions that they all must have disease's.His sample is also inadequate and doesn't really prove anything. The "expert" could also be considered using post hoc fallacies by saying that because immigrants come into the country we now have lots of disease's coming back. The "expert" is claiming that because the event of immigrants coming into the country and then disease's we thought were gone are coming back that it must be because we just had an increase of illegal immigrants.He is just relating two events that happened at the same time and don't really have any facts that connect them but coincidence. He uses slippery slope when explain what will happen if we keep letting immigrants come into our country. He says we will eventually have hoofs because this diagram shows a very dramatic sequence of events that we are losing fingers from the immigrants being here. He is claiming there is a chain reaction of what is happening and if the immigrants don't get out we will have dire consequence's.