Your name.

You would turn one light switch on leave one off and turn on one for a minute then turn it off so when you go upstairs you see one on you feel one cold and feel one warm.

The letter D.
The sequence contains the first letter of each month.

It is during the daytime.

A hot dog.

It.

Ice.

In number base 4.
22 = 10

The ten statements all contradict each other. Therefore, there can be at most one statement true. Now suppose there is no statement true. That would mean that statement 10 indeed would be true, which results in a contradiction. This means that exactly nine statements must be untrue, and thus only statement 9 is true.

A funeral.

Julius and Vincent are part of a set of triplets, or quadruplets, or even more.

Remark: the situation that Julius and Vincent would have the same father but not the same mother is not a valid solution, because Julius and Vincent would then be half-brothers!

Logical disjunction is a statement "P or Q". Such a disjunction is false if both P and Q
are false. In all other cases it is true. Note that in everyday language, use of the word
"or" can sometimes mean "either, but not both" (e.g., "would you like tea or coffee?").
In logic, this is called an "exclusive disjunction" or "exclusive or" (xor).
So if A was a swindlecant, then his statement would be false (thus A would have to be
an honestant and B would have to be a swindlecant). However, that would cause a
conflict which implicates that A must be an honestant. In that case at least one part of
his statement is true and as it can’t be the first one, B must be an honestant, too.