Public Store will not mount after restore attempt

if this is an exchange aware backup software then you need to restore the public folder store and log files.

Will restoring the log files effect the private store?  The backup is from last Friday.  The Private store is on a seperate partition but the log resides on the partition that the public store resides .  Condensed version: Can I restore the logs and the Public store without effecting the private store?  Thanks

It should not because you would be restoring the public folder store only and the option "this database can be overwritten by a restore" will not be checked for the mailbox store.
http://technet.microsoft.com/en-us/library/aa998965.aspx

OK.  I restored the Pub.edb and Pub.stm along with all of the logs to a partition with lots of free space.  I mounted the store and it created new databases.  I chose the option to overite database.  I named Pub.edb and Pub.stm (from the backup) the same as new database and copied them over with the log files from the restore.  Everything copied fine.  Mounted the store and got the inconsistincies error.  Should this have worked?

did you check the "last backup set" and "do not mount after restore" checkboxes at the time of restore
if not then the restore should have created a file called restore.env
do you have that file?
also how many log files did the restore operation restore?

There are about 1 months worth of logging.  I use Acronis True Image backup software.  It is an imaging software.  To do a restore I simply click on the MDBDATA folder and restore to new location.  I dismount the pub store and  I then copied it over to the original location.  Tried to start the store and get the error.  I have a good backup of this the MDBdata folder with the logs. There should be way to do this.  I have all weekend to fix this and need to.

There is no "last backup set" or "Do not mount after restore"???

Ok, usually this site rocks.  My issue must have not been stimulating enough.  

To fix the issue, I dismounted the stores that I needed to restore and checked the "allow to be overwritten with restore" and "do not mount on bootup"in properties.  I restored the entire mdbdata folder from Acronis backup (containing logs and pub stores) to the original location with the overwrite option selected.  (I keep my priv1.edb and pub1.edb on seperate drives to isolate them)  I then had to reboot the server.  After reboot I ran eseutil /p on each database to repair inconsistancies and mounted each store.  Fixed!