A video or audio offset is not an effect. It's the result of placement on the sequence.
A template of effects can be created and applied in the same manner as single effects are applied. The template won't include an offset or stabilization.
The process might be along these lines...
1. Apply effects and/or the templates you have created to the clips on the sequence.
2. Make the offset adjustments, to bring A/V into sync.
3. When satisfied, export the sequence as an mp4.
4. Import the resulting file, which will now be a single clip (discrete original clips are merged).
5. Right-click in the bin and stabilize the new clip, then add it to the timeline. This assumes that your intent is to stabilize all the original material.
Use FILE|SAVE PROJECT AS regularly (not FILE|SAVE} and increment its # so as to not overwrite a prior save. You can then revert, should problems arise.