1) Included with the database backup and the all log backups that occur while it's running

2) Included with the database backup and the all log backups that occur while it's running

3) Included with the database backup and the all log backups that occur while it's running

Full backups do not have any effect on the log backups that occur. The full backup backs up enough of the transaction log so that it can be restored consistently.

A full backup does not mark where the next log backup should start from, a log backup always backs up from where the previous log backup finished up to current.