About "dislodged" parcels: I assume you are referring to the parcel becoming rotated out of its place in the fabric. That so, check to see if you have "parcel measurement view" turned on in the parcel details and turn it off. This feature allows you to see the parcel as it was COGO'd prior to joining. If lines are distorted during opening check to see if any of your lines in the construction grid have yellow cells in them. This is an indicator that its feature in the fabric is outside the error tolerance for the values you entered. Error tolerances are a more complex issue. Care must be taken when deciding between join methods, the levels of estimation as well as accuracy values and so on. Because it is so complex it may be best expressed through another post.
Second, about updating Plan information: you should first upgrade to 10.1 where you can edit the PlanID directly in the attribute table. In addition, you can interact with the plans table directly if you want to mass populate fields perhaps by using a subdivision table and an attribute join to calculate. When using this method to populate the PlanID, you must run an add-in to reassociate the plan to the parcel or create valid "plans" for the plans directory. I apologize I cannot post the link to this add-in at this time. It appears that the Land Records Team is doing some work on it and possibly combining it with other relevant add-ins. The old tool was called "Fabric Tools AddIn" and the new tool is called "Delete Fabric Records." However, at this time, it doesn't appear that the new tool has this capability but because the old tool can't be located on Resources, you can't download it. If you want to check it out I can email it to you.
PS There was a bug in 10.0 with curves and "slivers." Hopefully the upgrade will help!!