Unsportsmanlike penalties and dead ball penalties can be carried over from the 2nd quarter to the 3rd quarter and from the 4th to overtime. However both of your situations would not carry over as overtime does not start with a kickoff and the 3rd quarter kickoff is not the ensuing kickoff after a score at the end of the second half. A kickoff may be the next play to start the 3rd quarter but it would have happened no matter what happened at the end of the second half and is not a result of the last play of the half.
Both of these must be enforced on the try. Unless you want to be the first out there to have an untimed kickoff.
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