I’m figuring the AC is 2002, but the format of the furnace S/N throws me a bit, because the unit looks older, but is quite clean upon inspection. Could be 2005.
The furnace serial number format looks like a York number which would make it 2003. The A/C is February 2006.
It’s not unusual to find larger companies like York manufacturing units for smaller companies like Coleman, and it runs about 50/50 as to what serial number format they’ll use when they do.