Barclays almost always denies multiple apps close together. I would pick one and wait on the other

Consider:
AMEX Premier Rewards Gold if you have a 50K offer at cardmatch.com, no fee first year.
Starwood personal and/or business, no fee first year. Or wait for a likely 30K offer in September. Always use private browsing for all AMEX apps, and multiple apps within a short time may be kicked out as duplicate but can be approved by calling recon.
Bank of America Alaska with $100 statement credit, $75 fee.

Last but certainly not least: Travel plans. Those points are not doing you any good sitting there