I agree with Joffm that you should probably use quota for screen outs, which is what you are trying to do here (prevent certain people from participating, if they don't meet the requirements). You could also try to send them to the end screen, by hiding the following questions via relevance equations. However, this would mean that they count as completed interviews in Limesurvey. This might not be a big problem if you do not use a panel, but still, I think quotas are the way to go.
www.limesurvey.org/manual/Survey_quotas
What you would need to do is create "zero" quotas (quotas that allow zero people into the survey for a certain case).
The first case should be relatively easy. However, I personally would probably create a (later hidden, but first shown for testing) equation question that checks the age question and then has the output "screenout" or "noscreenout" or something, or "0" and "1", whatever. Based on that I would create the quota.
The second one is super easy, just screen everyone out that says "No" in the Residence question.
The most tricky one is probably the third one. Of course this all depends a little on how your questions TEC1 to TEC29 look like. So ideally you provide a sample of what you are doing as LSS file.
But here I think I would certain use a (hidden) equation question which checks if all 29 questions are answered "No" and then write into this question if the respondent should be screened out or not.
However, to be honest, I don't know your structure, but most people will get pretty angry if they get screened out after answering 31 questions (this seems to be the minimum of questions to answer before being screened out based on the 3. case).