If I said Berachos at home on Shabbat, can I then go to shul and act as Shaliach Tzibur and repeat Berachos?

Shalom, Thank you for your question. A person who already said the morning blessings is not allowed to repeat them, even if they want to do so in order to be the Shilach Tzibur, (the Chazan). (See the Aruch HaShulchan 6,13 who addresses the custom of many people saying the morning blessings one after the other in shule. It is clear from his words that once someone has fulfilled their obligation of saying the blessings, one cannot repeat the blessings again). I hope this is of some help to you.