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Hi, thank you for your question. The F003 is rated for 2 - 3.5 tons. The F005 is rated from 2.5 - 5 tons capacity.
Your outdoor unit is a 3 ton so either air handler should work. The main difference would be the 003 has a slope coil evaporator with a 3 ton txv and the 005 is an a coil type with a 4 ton txv. The 003 has a 3.46 sq. ft face area and the 005 5.93 sq. ft. face area.
I've added a link to the specs for your to compare. They both use a 1/2 hp blower motor. This is about all the info I can provide as, truthfully I'm more of a repair tech than an applications/installer. I'm going to opt out of this question with the hopes that another one of our experts can expand on the info I've listed.