TLP LogixPro PLC Simulator
First draw a timing diagram. It's better than a wall of text. This is what I think you are trying to do.

                _________
A           ___|         |_______________
                       ______
IR sensor   __________|      |___________
                ______
Belt        ___|      |_________________
                       _________
Valve D     __________| . . . . |______
                       _________
Valve U     __________| . . . . |______
                       _
Press       __________| |______________


Figure 1. The timing diagram.



Figure 2. Original code.

Fixes:


Remove the short-circuit. Instead create a latch for the belt that is unlatched by the sensor.  


Rung 0 fix.

----| |---+----|/|--------( )----
  Switch  |   Sensor     Belt
          |
----| |---+
  Belt


Figure 3.


Put a similar rung in here using a bit, say B:3/0, to latch when the sensor turns on and unlatch when the timer times out.
Remove all those contacts and just use B:3/0.
Looks OK.
The PRESS output will be on all the time except between 1 and 4 s after the timer starts running. Add a contact of B:3/0 in here too.


Let us know how you get on. (Also, note how shrinking the Windows window before taking the screengrab will give the readers a much more readable image in StackExchange's 640 pixel wide column format.)



After corrected timing diagram has been provided:

                ________________________________
Switch      ___|         
                       ____________
IR sensor   __________|            |______
                ______           _________
Belt        ___|      |_________|
                       _________
Valve D     __________| . . . . |______
                       _________
Valve U     __________| . . . . |______
                       _
Press       __________| |______________

Pause timer __________: . . . . |______


Figure 4. Revised timing diagram provided by OP.

The problem you're having is that the sensor is staying on after the end of the timing cycle. You need to use a one-shot to detect the rising edge of the IR sensor to latch B:3/0 and have it unlatch with the timer.DN.

   I:1/1      B:3/1      B:3/0
----| |---+---[OSR]---+---( )----
  Sensor      Sensor  |  Pause
   B:3/0     T:4.0/DN |                   |
----| |---+----|/|----+
   Pause      Delay


Figure 5.

You should be able to work it from here. See page 41 of SLC 500 Instruction Set for details on the OSR and note the different implementation on some of the PLCs.

Note that your current code still has the original problem 5.