Ammend 1 is not reducing the limit on total taxes. They are reducing the limit on exemptions taken off the their total taxes. This is allowing the same ADDITONAL $10,000 exemption to be added to the elderly and disabled, as well as the homestead.
Ammend 5 authorizes no taxpayer money, only enlarging the size of the county from 5,000 to 7,500 population. This already is permitted in counties under 5,000 people. That is the only change, increase the population limit, provided the county is paid for the work.
You really should go read that link.
http://www.tlc.state.tx.us/pubsconamend/analyses15/analyses15.pdf
Thanks. I know they try to twist up the language in the amendments to hide the real purpose, so I always try to put the worst spin possible on the reading to try to get to what is really going on.