I'm a little confused because the feed already appears to be sorted by soonest first and I'm not sure what removing the pubDate will do for you.
In any case, to remove pubDate use a Regex module to replace everything (.*) with nothing (blank in the with field)
To remove the time zone from the title use a Regex module (the same one with another rule). Set this rule to In: item.title replace: ....$ with: (nothing)