How to write a message if I need a new job (searching/looking, contact me/turn on me) [closed]
Solution 1:
For the first, the correct choice is:
Don't hesitate to contact me.
and for the second, both are correct.
This is because "turn on me" has the meaning of "attack me", so this would be inappropriate if you were looking for a job.
The second two mean the same, and are both appropriate.
Solution 2:
Don't hesitate to turn on me
To "turn on [someone]" means to betray. It's perfectly good English; I just doubt it's what you mean.
To "turn [someone] on" means to sexually arouse. I will leave it to your own judgment whether it would be better to tell a potential employer to betray you or to arouse you, but I don't think either is a very good idea.
Don't hesitate to contact me
This seems to accurate convey what I guess you mean. Strunk & White condemned "contact" as jargon; they have bad reputation on this site, but I think they have a point. How should the person contact you? If they can call or email you, write:
Don't hesitate to call or email me
As for
I am searching for a new job / I am looking for a new job
The distinction is one of intensity: "search" is intense, "looking for" isn't.
In John Ford's 1958 classic The Searchers, two men (Walter Coy and John Wayne) spend 10 years obsessively tracking down the Indians who kidnapped their niece. There's never been a movie called The Lookers-For but if there were, it would feature Seth Rogan and Justin Long as two guys vaguely curious about where they left their sunglasses but not enough to get up from the couch.
If you want a more neutral words, consider "seeking a new job".
Solution 3:
Beware that don't hesitate to turn on me resembles don't hesitate to turn me on very closely, a phrase which is extremely sexual. You don't want to use that, trust me.
This is perfectly grammatical:
Don't hesitate to contact me.
As for the second sentence, I am looking for a new job is your best choice there. Notice the missing indefinite article in your original sentence.