Q: As a deacon is it licit for me to preside over a communion service by using the lectionary and leading only those parts not specific for a priest?
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A: A deacon or an extraordinary minister of holy communion may preside for a communion service. The Order of Service is found in the new edition of Holy Communion and Worship of the Eucharistic Mystery Outside Mass. You’ll find a complete order of service there that you should follow, not omitting some parts of Mass on your own judgment.
The book has a revised translation that may be used now and must be used by December 1, 2024. I suggest you purchase a copy of the new translation from one of five different publishers offering it and follow the instructions there.
My commentary on the book is called Eucharistic Reservation. That may help you as well.