I assume that you use R80.20.20 (992001869) - if not, upgrade the firmware!
1. Strict mode is nothing for novices (and for most customers) as it has many drawbacks - you have to understand very throughly what you want to achieve and how to implement it. See these posts for details:
SMB Strict Mode
Ping to 1530 GW from internal net dropped
2. Your rulebase screenshot does not have the automatic strict rules generated, so i am confused a bit. Outgoing rule should be Source Internal Nets or All and Dest Internet Object. Dest WAN/32 will not match any connection as the outgoing packet destination is Internet, not WAN. But changing to Standard Policy should remediate all your issues!
CCSP - CCSE / CCTE / CTPS / CCME / CCSM Elite / SMB Specialist