>> Day 1 (June 1)Train to Lucerne, arrive around 3.30 pm and go for boat trip.
You can check the timetable here to see what is possible at this time of day:
>> Day 2: Lucerne to Mt Titlis and then to Wengen. Visit Lauterbrunnen, Grindelwald and the waterfalls. Overnight Wengen. Day 3: Visit Jungfrau, then Murren, Schilthron , Grutschalp, Gimmerelwald.
Make sure to plan these excursions using a map and the Swiss Timetable to ensure you are visiting places in a logical sequence in terms of their location and can do all you plan to do in the time available:
>> Day 4: Wengen to Zermatt via Kandersteg lake.
What exactly do you mean by "via Kandersteg Lake"?
>> Day 5: Visit Matterhorn, Sunnegga
You can't visit the Matterhorn. You can see it from various viewpoints including the Gornergrat and Klein Matterhorn/Glacier Paradise.
Day 6: Glacier Exp to St Moritz. Collect luggage. Overnight St Moritz. Day 7: Visit Corvatsch, then take Bernina Exp (about 3 pm) to Tirano.
I assume you already know that reservations are mandatory on both the Glacier Express and the Bernina Express.
Baggage services are open until 18:20.
The Surlej/Silvaplana–Murtèl–Corvatsch cable car is closed for maintenance between 7 May and 15 June 2018.
The only mountain transport that will be operating when you are there is the Diavolezza cable car. It's not covered by the Swiss Travel Pass, and you won't qualify for a Mountain Railways Included card (because you are only staying one night), so you would have to pay full fare. You can find out how to get there in the following thread:
>> Sorry if some places have been wrongly spelt.
It will help you in using the timetable, as well as being a courtesy to the people who invest time and effort in answering your questions, to look place names up (on the MySwissAlps website or on a map) and spell them correctly :-)
>> Want to do a short bus trip, if possible. STP to be used.
The bus from Grindelwald to Meiringen over the Grosse Scheidegg might be a possibility. It operates from 19 May to 21 Oct 2018. Use the Swiss Timetable to see whether you can fit it into your plans. If you don't have enough time to go all the way to Meiringen, you can get off at Grosse Scheidegg or Schwarzwaldalp and get a later bus back to Grindelwald. There are restaurants at both those stops. If interested, you can read my trip report about this bus trip on the following page:
The Swiss Travel Pass provides free travel between Grindelwald and Oberer Gletscher (which is at the edge of Grindelwald village), and between Meiringen and Schwarzwaldalp. The middle sector between Oberer Gletscher and Schwarzwaldalp is discounted at 50%. On boarding the bus, state your destination to the driver and show your Swiss Travel Pass so you only get charged for that short sector. It will probably be about CHF 11 one way, but a bit less if you only go to Grosse Scheidegg.
Alternatively, you could do a short bus trip from St Moritz to the pretty village of Sils Maria, which takes just over 20 minutes. It's not a scenic route as such, but does travel through some beautiful scenery - mountains, forests, lakes - to the charming village of Sils Maria, which is well worth strolling through. Get off at the stop Sils/Segl Maria, Posta. That trip is free with the Swiss Travel Pass.
You can see some of my photos of Sils Maria in my post of Nov 5, 2016 - 6:00 AM in on the following page if you are interested: